The value of 2 3/5 ÷ [2 1/3 ÷ {4 1/3 - (2 1/2 + 2/3 )}] is equal to:

The value of 2 3/5 ÷ [2 1/3 ÷ {4 1/3 - (2 1/2 + 2/3 )}] is…

The value of 2 $\frac{3}{5}$ ÷ [2 $\frac{1}{3}$ ÷ {4 $\frac{1}{3}$ - (2 $\frac{1}{2}$ + $\frac{2}{3}$ )}] is equal to:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 1 $\frac{3}{10}$ .

Given, 2 $\frac{3}{5}$ ÷ [2 $\frac{1}{3}$ ÷ {4 $\frac{1}{3}$ - (2 $\frac{1}{2}$ + $\frac{2}{3}$ )}]

⇒ 13/5 ÷ [(7/3) ÷ {13/3 - 19/6}]

⇒ 13/5 ÷ [(7/3) ÷ (7/6)]

⇒ 13/5 ÷ [(7/3) × (6/7)]

⇒ 13/5 ÷ 2

⇒ 13/10 = 1 $\frac{3}{10}$